Consider a simple linear regression equation: Yi​=β0​+β1​Xi​+ui​. Suppose we have a sample with n observations: (X1​,Y1​),(X2​,Y2​),…,(Xn​,Yn​) and would like to use the sample to obtain estimates of β0​ and β1​ using Ordinary Least Squares (OLS). Derive the OLS estimators β0​^​ and β^​1​.